Robert H. Vogel

TL;DR: In molecular biology, as in most natural sciences, the number of indirect experiments involving ill-posed inverse problems is rapidly increasing as discussed by the authors, and three of the most important types of inverse problems involve either (a) severely illposed linear problems (e.g., Laplace transforms in relaxation or correlation experiments); (b) very large, and perhaps nonlinear, problems, such as estimation of three-dimensional structure from x-ray diffraction or electron microscopy); or (c) parameter estimation involving computationally complex models (i.e., multicomponent subnanose

TL;DR: Evidence is presented that useful reconstructions can be obtained with only one or two extra tilts from highly disordered specimens, even if the objects are asymmetric.

TL;DR: Applications to negatively stained 50S ribosomes and to cryo-electron micrographs of thin vitrified layers of unstained and unsupported tomato bushy stunt and Semliki Forest viruses are described, and the resulting reconstructions are presented.

TL;DR: In this paper, the effects of noise in the data are neglected in deriving these equations, which can lead to very large errors in the estimates, and a new set of transforms based on the idea of maximizing their Fisher information content is developed.